David Hilbert
David Hilbert | |
|---|---|
Hilbert in 1912 | |
| Born | 23 January 1862 Königsberg or Wehlau, Kingdom of Prussia |
| Died | 14 February 1943 (aged 81) Göttingen, Nazi Germany |
| Education | University of Königsberg (PhD) |
| Known for | Hilbert's basis theorem Hilbert's Nullstellensatz Hilbert's axioms Hilbert's problems Hilbert's program Einstein–Hilbert action Hilbert space Hilbert system Epsilon calculus |
| Spouse | Käthe Jerosch |
| Children | Franz (b. 1893) |
| Awards | Lobachevsky Prize (1903) Bolyai Prize (1910) ForMemRS (1928)[1] |
| Scientific career | |
| Fields | Mathematics, physics, philosophy |
| Institutions | University of Königsberg Göttingen University |
| Thesis | On Invariant Properties of Special Binary Forms, Especially of Spherical Functions (1885) |
| Doctoral advisor | Ferdinand von Lindemann[2] |
| Doctoral students |
|
| Other notable students | Edward Kasner John von Neumann Emanuel Lasker Carl Gustav Hempel |
David Hilbert (/ˈhɪlbərt/;[3] German: [ˈdaːvɪt ˈhɪlbɐt]; 23 January 1862 – 14 February 1943) was a German mathematician and philosopher of mathematics and one of the most influential mathematicians of his time.
Hilbert discovered and developed a broad range of fundamental ideas including invariant theory, the calculus of variations, commutative algebra, algebraic number theory, the foundations of geometry, spectral theory of operators and its application to integral equations, mathematical physics, and the foundations of mathematics (particularly proof theory). He adopted and defended Georg Cantor's set theory and transfinite numbers. In 1900, he presented a collection of problems that set a course for mathematical research of the 20th century.[4][5]
Hilbert and his students contributed to establishing rigor and developed important tools used in modern mathematical physics. He was a cofounder of proof theory and mathematical logic.[6]
- ^ Weyl, H. (1944). "David Hilbert. 1862–1943". Obituary Notices of Fellows of the Royal Society. 4 (13): 547–553. doi:10.1098/rsbm.1944.0006. S2CID 161435959.
- ^ David Hilbert at the Mathematics Genealogy Project
- ^ "Hilbert". Random House Webster's Unabridged Dictionary.
- ^ Joyce, David. "The Mathematical Problems of David Hilbert". Clark University. Retrieved 15 January 2021.
- ^ Hilbert, David. "Mathematical Problems". Retrieved 15 January 2021.
- ^ Zach, Richard (31 July 2003). "Hilbert's Program". Stanford Encyclopedia of Philosophy. Retrieved 23 March 2009.